2x^2+16x-53760=0

Solution for 2x^2+16x-53760=0 equation:

Simplifying
2x2 + 16x + -53760 = 0

Reorder the terms:
-53760 + 16x + 2x2 = 0

Solving
-53760 + 16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-26880 + 8x + x2) = 0

Factor a trinomial.
2((-168 + -1x)(160 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-168 + -1x)' equal to zero and attempt to solve:

Simplifying
-168 + -1x = 0

Solving
-168 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '168' to each side of the equation.
-168 + 168 + -1x = 0 + 168

Combine like terms: -168 + 168 = 0
0 + -1x = 0 + 168
-1x = 0 + 168

Combine like terms: 0 + 168 = 168
-1x = 168

Divide each side by '-1'.
x = -168

Simplifying
x = -168
Subproblem 2
Set the factor '(160 + -1x)' equal to zero and attempt to solve:

Simplifying
160 + -1x = 0

Solving
160 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-160' to each side of the equation.
160 + -160 + -1x = 0 + -160

Combine like terms: 160 + -160 = 0
0 + -1x = 0 + -160
-1x = 0 + -160

Combine like terms: 0 + -160 = -160
-1x = -160

Divide each side by '-1'.
x = 160

Simplifying
x = 160
Solution
x = {-168, 160}